Answer:
AC = 15
Step-by-step explanation:
Point B is on line segment AC .
Given
AB=3x
BC=4x+8,
AC=5x+10
determine the numerical length of AC
3x 4x+8
A-----------------------------B----------------------------------C
|<----------------------------5x+10 --------------------------->|
AB + BC = AC
3x + 4X + 8 = 5X + 10
combine like terms:
3x + 4x - 5x = 10 - 8
simplify:
2x = 2
x = 2 / 2
x = 1
solve for AC
AC = 5x + 10
AC = 5(1) + 10
AC = 15
